102021022102193 has 2 divisors, whose sum is σ = 102021022102194. Its totient is φ = 102021022102192.

The previous prime is 102021022102157. The next prime is 102021022102367. The reversal of 102021022102193 is 391201220120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100505296704289 + 1515725397904 = 10025233^2 + 1231148^2 .

It is an emirp because it is prime and its reverse (391201220120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102021022102193 - 2¹² = 102021022098097 is a prime.

It is a super-2 number, since 2×102021022102193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102021022122193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010511051096 + 51010511051097.

It is an arithmetic number, because the mean of its divisors is an integer number (51010511051097).

Almost surely, 2^{102021022102193} is an apocalyptic number.

It is an amenable number.

102021022102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021022102193 is an equidigital number, since it uses as much as digits as its factorization.

102021022102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 102021022102193 its reverse (391201220120201), we get a palindrome (493222242222394).

The spelling of 102021022102193 in words is "one hundred two trillion, twenty-one billion, twenty-two million, one hundred two thousand, one hundred ninety-three".